Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains
Analysis of PDEs
2025-01-31 v1
Abstract
We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined version of arXiv:2003.07176 which modifies the proof of Mozolyako and Havin for Lipschitz domains.
Cite
@article{arxiv.2501.18273,
title = {Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains},
author = {Jakob Fromherz and Paul F. X. Müller and Katharina Riegler},
journal= {arXiv preprint arXiv:2501.18273},
year = {2025}
}